. . Read the problem and write your answer for each part. Make sure to label each part: , , .jasmine is tracking the growth of a specific bacteria bacteria for a science experiment. She assumes that there are bacteria () in a Perti dish at 12:00 midnight. Jamie observes that the number of bacteria increases by 25 every hour . write an equation that describes the relationship between total number of bacteria () and time () in hours, assuming there are () bacteria in the perti dish at = 0. . if Jamie starts with bacteria in the perti dish, how many bacteria will be present after 6 hours? . if Jamie starts with bacteria in the perti dish, draw a graph that displays the total number of bacteria with respect to time from 12:00 midnight ( = ) to 8:00 am. ( = ). Label each axis and label points on your graph at times = , , , .use the coordinate plane below to draw your graph.

The first 5 cubic numbers are:

To find the set that represents event E we have to choose the numbers from the set above that are evenly divided by 2; this means that we have to choose the numbers that are multiple of 2. We notice that this numbers are 8 and 64, therefore the set that represents event E is:

Answer:

it would be on 7 since 60-11=49 and the square root of 49 is 7

Step-by-step explanation:

A nonagon has 9 sides, so a regular nonagon will have vertices that are 40° apart as measured from the center. It has 9-fold rotational symmetry,

so the figure will be identical to the original when rotated multiples of 360°/9 = 40°.

Therefore the degrees will a nonagon have rotational symmetry

Hene the correct answer is Option B

Given

The graph,

To find:

The equation representing the given graph.

Explanation:

It is given that,

That implies,

From the given graph,

It is clear that the curve passes through, (0,5).

Then, for x=0,

Consider the equation,

Which is equal to y=5.

Hence, the equation representing the above graph is,

Answer:

x + 3 / 4

Explanation:

It is given that the one number is always less than the opposite of the other.

So the equation formed is y<-x

The graph is obtained as

y= x+ 1/4 x

Y = dependent variable

x= independent variable

Jenny has a bank account. In the first month, she deposits a certain amount of money (x), and in the month after she deposits 1/4 of that amount.

Find the total amount of money deposited (y).

Solution:

Consider the following expression:

Remember that The factorial function is defined by the product:

thus, according to this definition, the given expression can be expressed as:

now, simplifying the previous expression we obtain:

we can conclude that the correct answer is:

We want to divide 4x³ + 2x - 3 by x - 3 with the long division method

First, we rewrite the polynomial as:

4x³ + 0x² + 2x - 3

Them we divide the first term of the dividend by the highest term of the divisor:

4x²

x - 3 |4x³ + 0x² + 2x - 3

Then we multiply the divisor by this result:

| 4x²

x - 3 |4x³ + 0x² + 2x - 3

4x³ - 12x²

Now we subtract this result from the dividend:

| 4x²

x - 3 |4x³ + 0x² + 2x - 3

4x³ - 12x²

|12x² + 2x - 3

Now we can repeat all the previous steps using the last result as dividend:

| 4x² + 12x

x - 3 | 12x² + 2x - 3

12x² - 36x

|38x - 3

And we repeat these steps once more:

4x² + 12x + 38

x - 3 | 38x - 3

34x - 102

|99

The final term is the remainder

Then, we have:

4x³ + 2x - 3 = (x - 3)*(4x² + 12x + 34) + 99

-3(1+6r) = 14 -r

-3-18r = 14 - r

-3-14 = -r +18r

-17 = 17r

17r/17 = -17/17

r = -1

Sherry lost the round 3 by 25 points

Sherry's point in third round = -10

Darren's point in the third round = 15

To determine the number of points Sherry lost round 3 by, we will subtracct Sherry's point from Darren's point:

Sherry lost round 3 by 25 points

The amount compounded is given by the formula ;

Here, P = $3500, r = 1.75%, n = 52 , t = 18 years.

Therefore, the interest the account will earn is 4795.65-3500 = $1295.65, Option A

Answer:

bottom one

Step-by-step explanation:

1) Considering that for that complex number we have the following pattern:

2) And that, the question asks us about the what number must be that exponent so that the remainder is 2, we can write out:

which d is the divisor, so if the remainder is 2 then we can state:

We have the following:

For the area surface:

repacing:

r = 1.5 in

h = 7 in

The answer is 65.9 in^2

For volume:

The answer is 49.5 in^3

We can answer this question, using proportions. We can see it graphically as follows:

Then, we have that 5 slices will have 575 calories.

Answer:

-9,-3,3,27

Step-by-step explanation:

Just multiply x by 6 and subtract 3 to that

Answer:

Domain as an inequality:   [tex]\boldsymbol{\text{x} < 6 \ \text{ or } \ -\infty < \text{x} < 6}[/tex]

Domain in interval notation:  [tex]\boldsymbol{(-\infty, 6)}[/tex]

Range as an inequality:  [tex]\boldsymbol{\text{y} \le 6 \ \text{ or } \ -\infty < \text{y} \le 6}[/tex]

Range in interval notation:  [tex]\boldsymbol{(-\infty, 6]}[/tex]

=========================================================

Explanation:

The domain is the set of allowed x inputs. For this graph, the right-most point is when x = 6. This endpoint is not part of the domain due to the open hole. The graph goes forever to the left to indicate [tex]\text{x} < 6[/tex] but I think [tex]-\infty < \text{x} < 6[/tex] is far more descriptive.

The second format directly leads to the interval notation of [tex](-\infty, 6)[/tex]

Always use parenthesis for either infinity. We use a parenthesis for the 6 to tell the reader not to include it as part of the domain.

------------------------

The range is the set of possible y outputs.

The highest y can get is y = 6

Therefore, y = 6 or y < 6

The range can be described as [tex]\text{y} \le 6 \ \text{ or } \ -\infty < \text{y} \le 6[/tex] where the second format is better suited to lead directly to the interval notation [tex](-\infty, 6][/tex]

Use a square bracket to include the 6 as part of the range. We don't have any open holes at the peak mountain point.

Answer:

[tex]\textsf{Domain}: \quad (-\infty, 6) \quad -\infty < x < 6[/tex]

[tex]\textsf{Range}: \quad (-\infty,6] \quad -\infty < y\leq 6[/tex]

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

The range of a function is the set of all possible output values (y-values).

An open circle indicates the value is not included in the interval.

A closed circle indicates the value is included in the interval.

An arrow show that the function continues indefinitely in that direction.

Interval notation

Inequality notation

From inspection of the given graph, the function is not continuous and so the domain is restricted.

There is an open circle at x = 6.

Therefore, the domain of the function is:

From inspection of the given graph, the maximum value of y is 6.  

The function continues indefinitely to negative infinity.

Therefore, the range of the function is:

By distributive property, we distribute 3x, and multiply it to each term inside the binomial (7x+6) accounting for the sign.

The original price of the shirt is , 20 dollar.

It is given that the shirts are 15% off.

Therefore, the price of the shirt is ,

The price of the shirt is, 17 dollar after 15% off.

It is also given that there are 10% sales tax.

The total cost of the shirt is determined by including the sales tax in the price of the shirt after 15% off.

Thus, The total cost of shirt is calculated as, 18.7 dollar.

Given data:

The given coordinate of L is (-1,4).

The given coordinate of M is(-1, -3).

The expression for LM length is,

Thus, the LM length is 7 units.

we have that

the number 3 appears 4 times

so

answer is

option C most likely to land on 3

The set of values {A = 0, B = 1, and C = 2} to have a completely horizontal line.

A horizontal line is defined as a line with slope m = 0 that is parallel to the x-axis.

A horizontal line across (-4,2) informs us of two things.

A horizontal line with slope m = 0 is parallel to the x-axis.

The line crosses the point (-4,2).

Ax + By = C has m = B/A = 0 slope and intersects point (-4,2).

Then, B = A×0 indicates that any constant A will work, and the Ax term disappears.

Ax + By = C then becomes y = C. To find C, use the point (-4,2).

⇒ C = 2

This line's equation is y = 2, and any point (x,2) matches the equation.

Therefore, the set of values {A = 0, B = 1, and C = 2} to have a completely horizontal line.

Learn about the lines here :

https://brainly.com/question/18271653

#SPJ1

Answer:

Step-by-step explanation:

17

Given the following points that pass through the line:

Point A : 12,4

Point B : 22,9

Step 1: Let's determine the slope of the line (m).

Step 2: Let's determine the y-intercept (b). Substitute m = 1/2 and x,y = 12,4 in y = mx + b.

Step 3: Let's complete the equation. Substitute m = 1/2 and b = -2 in y = mx + b.

Therefore, the equation of the line is y = 1/2x - 2.

The cotangent is given by the cosine over the sine.

If the cotangent is positive and the sine is positive, that means the cosine is also positive.

Now, in order to find the value of cos(x), we can use the following property:

To find f(2) you subtitute the value of x in the function by 2:

We have the following equation

y = -x + 8

this equation is writen in slope intercept form

y = mx + b

where m is the slope

From the above, we can see that the slope is m = -1

Answer: Mark up is 220%

Cost to store : $145

selling price = $319

let x = mark up

Using the below equation

Answer:

To solve the system of two linear inequalities graphically,

For step 1,

Draw a line 4x+6y=24

Since the given equation has less than sign, the required region will not include the line, Hence we draw the dashed line for the line 4x+6y=24.

Since we required redion is 4x+6y<24, the points bellows the line satisfies the condition hence the required region is below the line,

Similarly for the inequality,

It covers the region right side of the line x=2,

we get the siolution region as the intersecting region of both inequality which defined in the graph as,

Dark blue shaded region is the required solution set for the given inequalities.

To start we will do what you said, multiply the 6, so:

6*(n-4)=3n

6n-6*4=3n

6n-24=3n

6n=3n+24

6n-3n=24

3n=24

n=24/3

n=8

So the answer is: 8